Definition: 1.14: Plane Figure
A plane figure is that which is contained by some boundary or boundaries.
Modern Definition
A plane figure or just figure is a part of a plane enclosed by simple closed curve. The curve divides the plane into two parts, called the interior and the exterior of the figure.
Example
A figure with its interior and exterior:

Mentioned in:
Definitions: 1 2 3
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References
Adapted from (subject to copyright, with kind permission)
- Fitzpatrick, Richard: Euclid's "Elements of Geometry"